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Global Existence and Decay of Solutions to the Fokker-Planck-Boltzmann Equation

Published 13 Jun 2013 in math.AP | (1306.3079v1)

Abstract: The Cauchy problem to the Fokker-Planck-Boltzmann equation under Grad's angular cut-off assumption is investigated. When the initial data is a small perturbation of an equilibrium state, global existence and optimal temporal decay estimates of classical solutions are established. Our analysis is based on the coercivity of the Fokker-Planck operator and an elementary weighted energy method.

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Authors (3)

  1. Linjie Xiong 
  2. Tao Wang 
  3. Lusheng Wang 

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